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Finding the Fourth Proportional to 329.69, 455.06 and 308.90

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Solution

The fourth proportional to 329.69, 455.06 and 308.90 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 455.06 = 308.90 : x
  2. Step 2: Convert to fraction form
    329.69/455.06 = 308.90/x
  3. Step 3: Cross multiply
    329.69x = 455.06 × 308.90
  4. Step 4: Simplify right side
    329.69x = 140,566.53
  5. Step 5: Solve for x
    x = 140,566.53/329.69
  6. Step 6: Final answer
    x = 426.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.